AgSynth: A Multi-Agent Reverse Synthesis Framework for Multimodal Mathematical Reasoning Data Generation

Yaxuan Wang, Lingfeng Zeng, Jiatu Hu, Guojie Lin, Boyu Yang, Bing Zhao, Lin Qu, hu Wei


Abstract
Multimodal large language models show significant potential in mathematical reasoning, yet they remain constrained by a scarcity of high-quality training data for visually grounded problems. Existing approaches commonly suffer from narrow coverage, image-text inconsistency, and heavy imitation of seed problems. To address these limitations, this paper proposes AgSynth, a multi-agent collaborative reverse synthesis framework. It first constructs solution logic programmatically and renders the corresponding images, then generates problem statements backward from the visual facts, thereby embedding answer correctness and image-text consistency directly into the generation pipeline. Meanwhile, AgSynth distills the core competencies tested in seed problems and performs divergent reconstruction, enabling synthesized problems to be substantially novel in both structure and visual presentation. Based on this framework, we construct the AgSynth-10K dataset, comprising 10,477 multimodal mathematical reasoning problems that have undergone two-tier quality control, spanning four major domains: geometry, algebra, combinatorics, and number theory. Experiments demonstrate that reinforcement learning training on AgSynth-10K significantly improves model performance on reasoning-intensive benchmarks (WeMath +7.42, LogicVista+9.15), validating the effectiveness of this traceable synthesis paradigm. The framework is publicly available at https://github.com/Yaxuan7690/AgSynth.
Anthology ID:
2026.findings-emnlp.2073
Volume:
Findings of the Association for Computational Linguistics: EMNLP 2026
Month:
October
Year:
2026
Address:
Budapest, Hungary
Editors:
Hung-Yi Lee, Sunipa Dev, Jessy Li, Desmond Elliott
Venue:
Findings
SIG:
SIGDAT
Publisher:
Association for Computational Linguistics
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Pages:
44135–44148
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URL:
https://aclanthology.org/2026.findings-emnlp.2073/
DOI:
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Cite (ACL):
Yaxuan Wang, Lingfeng Zeng, Jiatu Hu, Guojie Lin, Boyu Yang, Bing Zhao, Lin Qu, and hu Wei. 2026. AgSynth: A Multi-Agent Reverse Synthesis Framework for Multimodal Mathematical Reasoning Data Generation. In Findings of the Association for Computational Linguistics: EMNLP 2026, pages 44135–44148, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
AgSynth: A Multi-Agent Reverse Synthesis Framework for Multimodal Mathematical Reasoning Data Generation (Wang et al., Findings 2026)
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PDF:
https://aclanthology.org/2026.findings-emnlp.2073.pdf